Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation

Table 1

Material properties of HSG and SGE.

Material	Density	Young’s Modulus	Young’s Modulus	Shear Modulus	Poisson Ratio
	$\rho \times 10^3\hspace{0.17em}N-s^2/m^4$	$E_x\times 10^{10}\hspace{0.17em}N/m^2$	$E_{\theta }\times 10^{10}\hspace{0.17em}N/m^2$	$\times 10^{10}\hspace{0.17em}N/m^2$	${\upsilon }_{x\theta }$
HSG	1.5892	12.40	1.03	0.54933	0.27
SGE	2.0431	5.17	1.17	0.55060	0.25